A discrete-time memory less Gaussian source with mean 0 and variance σ2 is to be transmitted over a binary symmetric channel with crossover probability p
1. What is the minimum value of the distortion attainable at the destination (distortion is measured in mean-squared error)?
2. If the channel is a discrete-time memory less additive Gaussian noise channel with input power P and noise power Pn, what is the minimum attainable distortion?
3. Now assume that the source has the same basic properties but is not memoryless. Do you expect the distortion in transmission over the binary symmetric channel to be decreased or increased? Why?